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Finding the Fourth Proportional to 12,972, 19,459.92 and 6,042.72

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Solution

The fourth proportional to 12,972, 19,459.92 and 6,042.72 is: 9,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972 : 19,459.92 = 6,042.72 : x
  2. Step 2: Convert to fraction form
    12,972/19,459.92 = 6,042.72/x
  3. Step 3: Cross multiply
    12,972x = 19,459.92 × 6,042.72
  4. Step 4: Simplify right side
    12,972x = 117,590,847.78
  5. Step 5: Solve for x
    x = 117,590,847.78/12,972
  6. Step 6: Final answer
    x = 9,064.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.